In a `GP`, the ratio of the sum of the first eleven terms of the sum of the last even terms is `1//8` and the ratio of the sum of all the terms without the first nine to the sum of all terms without the last nine is `2`. Then the number of terms in the `GP` is

The ratio of the sum of first three terms to the sum of first six terms is 125 : 152. Find the common ratio of G.P.

In a G.P., the ratio between the sum of first three terms and that of the first six terms is 125: 152. Find its common ratio.

Show that the ratio of the sum of first n terms of a G.P. and the sum of (n+1)th term to (2n)th term is (1)/(r^(n)) .

The ratio of the sum of first three terms is to that of first 6 terms of a G.P. is 125:152. Find the common ratio.

The sum of first four terms of an AP is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms. Also find the sum of all terms of the AP.

The sum of the first three terms of G.P. is 7 and the sum of their squares is 21. Determine the first five terms of the G:P.

Two arithmetic progressions have the same numbers. The reatio of the last term of the first progression to the first term of the second progression is equal to the ratio of the last term of the second progression to the first term of first progression is equal to 4. The ratio of the sum of the n terms of the first progression to the sum of the n terms of teh first progression to the sum of the n terms of the second progerssion is equal to 2. The ratio of their first term is

Two arithmetic progressions have the same numbers. The reatio of the last term of the first progression to the first term of the second progression is equal to the ratio of the last term of the second progression to the first term of first progression is equal to 4. The ratio of the sum of the n terms of the first progression to the sum of the n terms of teh first progression to the sum of the n terms of the second progerssion is equal to 2.

If the sum of first two terms of an infinite G.P is 1 and every term is twice the sum of all the successive terms then its first term is